Exercises Complete the following: 11. Find the intercepts and (a) 9x² - 164 = 144 (c) 25x - 4y = 100 (e) x² + y² = 1 29x² + 16y² = 144

Answers

Answer 1
[tex]-x^2+y^2=1[/tex]

The intercepts for a function can be on either of the two axis, y or x.

when finding the intercepts of x, means that y = 0

when finding the intercepts of y, means that x = 0

finding the x intercepts

[tex]\begin{gathered} -x^2+(0)^2=1 \\ -x^2=1 \\ x^2=-1 \\ x=\sqrt[]{-1} \end{gathered}[/tex]

since the solution for the square root of -1 has not any solution on the real numbers, we can say that there is no intercept over the x axis.

finding the y intercepts

[tex]\begin{gathered} -(0)^2+y^2=1 \\ y^2=1 \\ y=\pm\sqrt[]{1} \\ y=1;y=-1 \end{gathered}[/tex]

there are 2 intercepts on the y axis, these are at y=1 and y=-1

information can be proven by graphing the function

Exercises Complete The Following: 11. Find The Intercepts And (a) 9x - 164 = 144 (c) 25x - 4y = 100 (e)

Related Questions

What is an equation of the line that passes through the point (-4,-6)(−4,−6) and is perpendicular to the line 4x+5y=25?

Answers

y=(5/4)x-1

First you put the equation into y=mx+b form:
1. move the 4x to the other side
5y=-4x+25
2. divide by 5 on both sides
y=(-4/5)x+5

Next, since the line has to be perpendicular, you take the negative reciprocal of the slope (flip the fraction and put the opposite sign)
1. 5/4

Now, find the y intercept (the b)
1. set up the equation
-6=(5/4)(-4)+b
2. multiply the 5/4 and -4
-6=-5+b
3. move the -5 to the other side (add it)
-1=b

Now, put all the elements together
1. y=(5/4)x-1

The rate of growth of a particular population is given by dP/dt=50t^2-100t^3/2, where P is population size and t is fine and years. Assume the initial population is 25,000. a) determine the population function, P(t)b) estimate to the nearest year how long it will take for the population to reach 50,000

Answers

SOLUTION

Step1: write out the giving equation

[tex]\frac{dp}{dt}=50t^2-100t^{\frac{3}{2}}[/tex]

Step2: Integrate both sides of the equation above

[tex]\int \frac{dp}{dt}=\int 50t^2dt-\int 100t^{\frac{3}{2}}dt[/tex]

Then simplify by integrating both sides

[tex]p(t)=\frac{50t^{2+1}}{2+1}-\frac{100t^{\frac{3}{2}+1}}{\frac{3}{2}+1}+c[/tex][tex]p(t)=\frac{50}{3}t^3-40t^{\frac{5}{2}}+c[/tex]

since the initial value is 25,000, then

the Population function is

[tex]\begin{gathered} p(t)=\frac{50}{3}t^3-40t^{\frac{5}{2}}+25000\ldots\ldots..\ldots\text{.. is the population function} \\ \text{where t=time in years} \end{gathered}[/tex]

b). For the population to reach 50,000 the time will be

[tex]\begin{gathered} 50000=\frac{50}{3}t^3-40t^{\frac{5}{2}}+2500 \\ 50000-25000=\frac{50}{3}t^3-40t^{\frac{5}{2}} \\ 25000=\frac{50}{3}t^3-40t^{\frac{5}{2}} \\ \text{Then} \\ \frac{50}{3}t^3-40t^{\frac{5}{2}}-25000=0 \\ \end{gathered}[/tex]

Multiply the equation by 3, we have

[tex]\begin{gathered} 50t^3-120t^{\frac{5}{2}}-75000=0 \\ \end{gathered}[/tex]

To solve this we rewrite the function as

[tex]14400t^5=\mleft(-50t^3+75000\mright)^2[/tex]

The value of t becomes

[tex]\begin{gathered} t\approx\: 15.628,\: t\approx\: 9.443 \\ t=15.625\text{ satisfy the equation above } \end{gathered}[/tex]

Then it will take approximately

[tex]16\text{years}[/tex]

Which ocean animal is closest to a depth of -0.7km?

Answers

Answer:

whales, walruses, porpoises, dolphins, seals, dugongs, manatees, and sea otters

Step-by-step explanation:

have good day

I need help A. -3 B. 3 C. -2D. -10

Answers

The average rate of change can be calculated as the division of the output of the function on the interest interval by the size of the interval. To do that we have to find the value of "y" at the end of the interval and subtract it by the value of "y" at the beggining. This is shown as an expression below:

[tex]\text{average rate of change=}\frac{y_{\text{ final}}-y_{\text{ initial}}}{x_{\text{ final}}-x_{\text{ initial}}}[/tex]

For this function the values of x are:

[tex]\begin{gathered} x_{\text{ initial}}=0 \\ x_{\text{ initial}}=3 \end{gathered}[/tex]

The values for y are:

[tex]\begin{gathered} y_{\text{ initial}}=10 \\ y_{\text{ final}}=1 \end{gathered}[/tex]

Using these values we can calculate the average rate of change:

[tex]\text{average rate of change=}\frac{1-10}{3-0}=\frac{-9}{3}=-3[/tex]

The average rate of change for this function is approximately -3 for the given interval. The correct answer is A.

If the correlation coefficient r is equal to 0.755, find the coefficient of determination and the coefficient of nondetermination.Question 10 options: The coefficient of determination is 0.430 and the coefficient of nondetermination is 0.570 The coefficient of determination is 0.869 and the coefficient of nondetermination is 0.131 The coefficient of determination is 0.570 and the coefficient of nondetermination is 0.430 The coefficient of determination is 0.131 and the coefficient of nondetermination is 0.869

Answers

Given the word problem, we can deduce the following information:

The correlation coefficient r is equal to 0.755.

To determine the coefficient of determination and the coefficient of nondetermination, we use the formulas below:

[tex]Coefficient\text{ }of\text{ }Determination=r^2[/tex][tex]Coefficient\text{ }of\text{ N}ondetermination=1-r^2[/tex]

Now, we first plug in r=0.755 to get the coefficient of determination:

[tex]Coeff\imaginaryI c\imaginaryI ent\text{ o}f\text{ D}eterm\imaginaryI nat\imaginaryI on=r^2=(0.755)^2=0.57[/tex]

Next, we get the coefficient of nondetermination:

[tex]\begin{gathered} Coeff\imaginaryI c\imaginaryI ent\text{ o}f\text{ N}ondeterm\imaginaryI nat\imaginaryI on=1-r^2=1-0.57=0.43 \\ \end{gathered}[/tex]

Therefore, the answer is:

The coefficient of determination is 0.570 and the coefficient of nondetermination is 0.430

I have 4 questions I need help with This is first question number 2

Answers

We have the next function that models the Australian GDP since 1960 :

[tex]G(i)=1806x(1.037)^t[/tex]

Where t is the number of years since 1960.

a)If we are in the year 1960, it means t=0

Therefore:

[tex]G(t)=1806x(1.037)^1[/tex][tex]G(0)=1806x(1.037)^0[/tex][tex]G(0)=1806[/tex]

b)Now, we need to find the Australia capita in 1963.

This means t=3

Therefore:

[tex]G(t)=1806x(1.037)^t[/tex][tex]G(3)=1806x(1.037)^3[/tex][tex]G(3)=2013.974721[/tex]

c) We need to find when the function is equal to 100,000.

Therefore we equal the function G(t)=100,000.

Then:

[tex]1806x(1.037)^t=1000000[/tex]

Solve for t:

Divide both sides by 1806:

[tex]\frac{1806x(1.037)^t}{1806}=\frac{100000}{1806}[/tex][tex](1.037)^t=\frac{50000}{903}[/tex]

Add Ln for each side:

[tex]\ln (1.037)^t=in(\frac{50000}{903})[/tex][tex]t\ln (1.037)=in(\frac{50000}{903})[/tex]

Then:

[tex]t=\frac{in(\frac{50000}{903})}{\ln (1.037)}[/tex][tex]t=110.48286[/tex]

Rounded to the nearest year:

[tex]t=110[/tex]

Therefore: 1960 +110 = 2070

On 2070 the Austranlian GDP reaches 100,000 USD

Which equation is set up for direct use of the zero-factor property? A. 3x2 - 19x - 14 = 0 C.X2 + x = 42 B. (7x + 9)2 = 3 D. (3x - 2)(- 2) = 0

Answers

Explanation:

The zero-factor property states that if ab=0, then either a = 0 or b = 0 (or both). A product of factors is zero if and only if one or more factors is zero.

From these options only B and D have factors, but B equals to 3. In D we have that (3x-2) = 0 or the other factor is zero (or both)

Answer:

The correct answer is option D

Which of the following is NOT an equation?1. 5(2x+1)=10x+52. 4x-13. 5+3=104. x/2+1=7

Answers

By definition, an equation is a statement that two mathematical expressions are equal.

Equations always contain the equal sign "="

Out of the 4 expressions listed, number 2. does not contain the equal sign, which means that this expression is not an equation.

All other expressions contain the equal sign, they can be considered equations.

Let E be the event where the sum of two rolled dice is less than 9. List the outcomes in E^c

Answers

The Solution:

Let the outcomes when two dice are tossed be as summarized in the picture attached below:

What is the value of 10 1

Answers

10

10x1=10

Hope this helps

Question 2 (2 points)Find the value of x. If needed, round your answer to the nearest tenth.50°X5Not drawn to scaleX =

Answers

Solution

Find the value of x in the triangle shown below:

Calculate the value of x

Opposite = 5

adjacet = x

[tex]tan\theta=\frac{opp}{adj}[/tex][tex]\begin{gathered} tan50=\frac{5}{x} \\ x=\frac{5}{tan50} \\ x=\frac{5}{1.19175} \\ x=4.1955 \\ x=4.2\text{ \lparen nearest tenth\rparen} \end{gathered}[/tex]

Therefore the correct value of x = 4.2

A $40,000 is placed in a scholarship fund that earns an annual interest rate of 4.25% compounded daily find the value in dollars of the account after 2 years assume years have 365 days round your answer to the nearest cent

Answers

SOLUTION

From the question, we want to find the value in dollars of the account after 2 years.

We will usethe formula

[tex]\begin{gathered} A=P(1+\frac{r}{n})^{nt} \\ Where\text{ A = value of the account, amount in dollars = ?} \\ P=principal\text{ money invested = 40,000 dollars } \\ r=annual\text{ interest rate = 4.25\% = }\frac{4.25}{100}=0.0425 \\ n=number\text{ of times compounded = daily = 365} \\ t=time\text{ in years = 2 years } \end{gathered}[/tex]

Applying this, we have

[tex]\begin{gathered} A=P(1+\frac{r}{n})^{nt} \\ A=40,000(1+\frac{0.0425}{365})^{365\times2} \\ A=40,000(1.000116438)^{730} \\ A=40,000\times1.0887116 \\ A=43,548.467179 \\ A=43,548.47\text{ dollars } \end{gathered}[/tex]

Hence the answer is 43,548.47 to the nearest cent

25. Brett wants to sound proof his studio, which is in the shape of a box. He will cover all 4 walls, the floor and the ceiling with the sound proof padding material. If the floor's dimensions are 15ft x 20ft and the height of the room is 10ft tall, how much will Brett spend on padding that costs $2.50 per square foot?

Answers

Covering the walls of a studio

We have that the floor's dimensions are 15ft x 20ft and the height of the room is 10ft tall. This is

if we extended it we would have:

We want to find how many square foot Brett needs to cover. We just find the area of each side of the studio.

We find it just by multiplying both of its sides (they all are rectangles):

Wall 1

area = 10ft x 15 ft

area = 150 ft²

Wall 2

area = 10ft x 20 ft

area = 200 ft²

Wall 3

area = 10ft x 15 ft

area = 150 ft²

Wall 4

area = 10ft x 20 ft

area = 200 ft²

Floor

area = 15ft x 20 ft

area = 300 ft²

Ceiling

area = 15ft x 20 ft

area = 300 ft²

A condensed way....

TOTAL AREA

Now, we add all the areas found, this will be the total area Brett must cover:

Wall 1 + wall 2 + Wall 3 + Wall 4 + ceiling + floor = total area

150 ft² + 200 ft² + 150 ft² + 200 ft² + 300 ft² + 300 ft² = 1300 ft²

COST

Since the padding costs $2.50 per square foot, and there are 1300 square foot to cover. Brett will spend

$2.50 x 1300 = $3250

Answer: Brett spend on padding $3250

Graph the line y=1/4x+3 then name the slope and y-intercept by looking at the graph. How do I graph this what are my points and what is m= as well as what is b=?

Answers

Make graph line using the slope and the y-intercept or the point.

m=1/4 and b=3

What is graph ?

graph is a mathematical representation of a networks and it describes that the  relationship between lines and points. A graph consists of some points and lines are  between them. The length of the lines and position of the points do not matter.

Sol-as per the given question y=1/4x+3

The slope-intercept form y=mx+b where m is the slope and b is the y intercept

y=mx+b

Reorder terms

y=1/4x +3

Use the slope-intercept form to find the slope and y-intercept

Slope=1/4

y-intercept :(0,3)

Any line can be graphed using two points is  Select two x

values, and plug them into the equation to find the corresponding Y values.

In record terms -y=1/4 x+3

The table of x and y values are-

X-0,4

Y-3,4

graph the line using the slope and the y-intercept, or the points.

Slope -1/4

y-intercept (0,3)

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I
Three relationships are described below:
I. The amount of time needed to mow a yard increases as the size of the yard increases.
II. The amount of timeneeded to drive from city A to city B decreases as the speed you are driving increases.
III. The income of a worker who gets paid an hourly wage increases as the number of hours worked increases and
increases as the salary rate increases.
What type of variation describes each relationship?

Answers

The type of variation that describes each relationship include the following:

Direct variation: the amount of time needed to mow a yard increases as the size of the yard increases.Indirect variation: the amount of time needed to drive from city A to city B decreases as the speed you are driving increases.Joint variation: the income of a worker who gets paid an hourly wage increases as the number of hours worked increases and increases as the salary rate increases.

What is an indirect variation?

An indirect variation simply refers to a type of proportional relationship in which a variable is inversely proportional to another variable. This ultimately implies that, an indirect variation represents two variables that are inversely proportional to each other, which means as one variable increases, the other variable decreases and vice-versa.

What is direct variation?

Direct variation refers to a type of proportional relationship in which a variable is directly proportional to another variable. This ultimately implies that, a direct variation represents two variables that are directly proportional to each other, which means as one variable increases, the other variable also increases and vice-versa.

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The triangles formed by two ladders leaning against a wall are similar. How long is the shorter ladder?

Answers

To solve this problem we must use proportions

[tex]\begin{gathered} \text{ }\frac{x}{8}\text{ = }\frac{42}{24} \\ \text{ x = }\frac{8\text{ x 42}}{24} \\ \text{ x = }\frac{336}{24} \\ \text{ x = 14} \end{gathered}[/tex]

The length of the shortest ladder is 14.

letter B is the correct answer.

What interest will be earned if $11,000.00 is invested for 3 years at 11% compounded semi-annual?You would earn $ in interest. (Round to 2 decimal places.)

Answers

Answer:

$4,167.27

Explanation:

The amount, A(n) in an account for a Principal invested at compound interest is calculated using the formula:

[tex]\begin{gathered} A(n)=P(1+\frac{r}{k})^{nk}\text{ }where=\begin{cases}P=Prin\text{cipal} \\ r=\text{Annual Interest Rate} \\ k=\text{Compounding Period}\end{cases} \\ n=nu\text{mber of years} \end{gathered}[/tex]

In the given problem:

• P = $11,000.00

,

• r=11% = 0.11

,

• n= 3 years

,

• k=2 (semi-annual)

Substitute these into the formula:

[tex]\begin{gathered} A(n)=11,000(1+\frac{0.11}{2})^{2\times3} \\ =11,000(1+0.055)^6 \\ =11,000(1.055)^6 \\ =\$15,167.27 \end{gathered}[/tex]

Next, we find the interest earned.

[tex]\begin{gathered} \text{Interest}=\text{Amount}-\text{Prncipal} \\ =15167.27-11000 \\ =\$4,167.27 \end{gathered}[/tex]

You would earn $4,167.27 in interest (rounded to 2 decimal places).

How do you solve this?

Answers

Answer: I thought you already asked this question.

Step-by-step explanation:

given: S is the midpoint of BT ; BO || AT prove:

Answers

"S is the midpoint of BT": this is given.

BO || AT: this is given.

SB = ST: definition of midpoint.

alternate interior

vertical

ΔBOS = ΔTAS: SAS or ASA (both are right).

Find the x-intercept and y-intercept of the line.
5x-9y=-12

Answers

The x and y intercepts of the line is found as (12/5, 0) and (0, -4/3) respectively.

What is termed as the x and y intercepts?An intercept is a y-axis point that the slope of a line passes. It is the y-coordinate of the a point on the y-axis where a straight line or even a curve intersects. This is represented by the equation for a straight line, y = mx+c, where m is the slope and c seems to be the y-intercept. There are two types of intercepts: x-intercept and y-intercept.

For the given question,

The equation of the line is 5x-9y=-12.

For the x intercept, Put y = 0.

5x-9×0=-12.

x = 12/5

x intercept = (12/5, 0)

For y intercept, put x = 0.

5×0-9y=-12

y = -12/9

y = -4/3

y intercept = (0, -4/3)

Thus, the x and y intercepts of the line is found as (12/5, 0) and (0, -4/3) respectively.

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A dwarf seahorse swims 3/4 inch in a minute. How many minutes would take the seahorse to swim 1/3 inch?
A. 1/3 divided by 3/4= 4/9
B. 1/3 times 3/4= 1/4
C. 3/4 divided by 1/3= 9/4
D. 3/4 + 1/3= 13/12

Answers

Answer:

A

Step-by-step explanation:

we have 3/4 in / minute.

so, we divide this by 3/4 to get the time for 1 inch.

and then we multiply by 1/3 to get the time for 1/3 inch.

that combination, dividing by 3/4 and multiplying by 1/3, can be done in any sequence (commutative property of multiplication).

therefore, this can be expressed as 1/3 divided by 3/4. and A is the correct answer.

NO LINKS!! Please help me with this probability question​

Answers

Answer:  B) 46.67% approximately

=================================================

Work Shown:

A = it will be cloudy tomorrow

B = it will be rainy tomorrow

P(A) = 0.30

P(B) = 0.15

P(A and B) = 0.14

Apply the conditional probability formula.

P(B given A) = P(A and B)/P(A)

P(B given A) = 0.14/0.30

P(B given A) = 0.4667 approximately

P(B given A) = 46.67% approximately

Answer:

b)  About 46.67%.

Step-by-step explanation:

Let event A = being cloudy.

Let even B = being rainy.

Given probabilities:

Probability of being cloudy = 30%.Probability of being rainy = 15%.Probability of being cloudy and rainy = 14%.

Therefore:

P(A) = 0.3P(B) = 0.15P(A ∩ B) = 0.14

Conditional Probability Formula

[tex]\sf P(B|A)=\dfrac{P(A \cap B)}{P(A)}[/tex]

The probability of being rainy given it is cloudy = P(B | A).

Substitute the given values into the formula:

[tex]\implies \sf P(B|A)=\dfrac{0.14}{0.3}=0.46666...=46.67\%\;(2\;d.p.)[/tex]

Therefore, the probability of it being rainy if you know it will be cloudy is about 46.67%.

Newton's Second Law, F=m.a, describes the relationship between an object's mass, a force acting on it, and the resulting acceleration, where: F is force, in Newtons m is mass, in kilograms a is acceleration, in meters per second squared A young boy and his tricycle have a combined mass of 30 kilograms. If the boy's sister gives him a push with a force of 60 Newtons, what is his acceleration? 1 2 meter per second squared 2 meters per second squared 30 meters per second squared 90 meters per second squared

Answers

Newton's Second Law, F=m.a, describes the relationship between an object's mass, a force acting on it, and the resulting acceleration, where: F is force, in Newtons m is mass, in kilograms a is acceleration, in meters per second squared A young boy and his tricycle have a combined mass of 30 kilograms. If the boy's sister gives him a push with a force of 60 Newtons, what is his acceleration? 1 2 meter per second squared 2 meters per second squared 30 meters per second squared 90 meters per second squared​

we have that

F=m*a

we have

m=30 kg

F=60 N

substitute in the formula

60=30*a

solve for a

a=60/30

a=2 m/s^2

therefore

the answer is 2 meters per second squared

Find the length of the missing side of the triangle using the Pythagorean theorem. (Type an integer or decimal rounded to the nearest tenth as needed.)

Answers

Pythagorean theorem

[tex]\begin{gathered} a^2=b^2+c^2,\text{ where a is the hypotenuse} \\ a^2=(6.5)^2+(4.9)^2 \\ a^2=42.25+24.01 \\ a^2=66.26 \\ a=\sqrt[]{66.26}=8.1^{\prime} \end{gathered}[/tex]

(Type an integer or decimal rounded to the nearest tenth as needed.)

Integer = 8'

decimal rounded to the nearest tenth as needed = 8.1'

Look at this graph: у 10 9 8 7 6 5 3 2 1 0 1 2 3 4 5 6 7 8 9 10 What is the slope?

Answers

EXPLANATION

As we can see in the graph, we can calculate the slope with the following equation:

[tex]\text{Slope}=\frac{(y_2-y_1)}{(x_2-x_1)}[/tex]

Let's consider any ordered pair, as (x1,y1)=(1,7) and (x2,y2)=(5,8), replacing this in the equation will give us:

[tex]\text{Slope}=\frac{(8-7)_{}}{(5-1)}=\frac{1}{4}[/tex]

Answer: the slope is equal to 1/4.

Mr. Herman had $125, and Mr.Chandra had $80. After each of them had paid for a concert ticket, Mr. Herman had 6 times as much money as Mr. Chandra. how much money did Mr. Chandra have left?

Answers

We have

Let x = cost of the ticket

After paying for the tickets, Mr. Herman had 125 - x

and Mr Chandra had 80 - x

Then, the equation is:

[tex]125-x=6(80-x)[/tex]

So, solve for x:

[tex]\begin{gathered} 125-x=480-6x \\ 125-x+6x=480-6x+6x \\ 125+5x=480 \\ 125+5x-125=480-125 \\ 5x=355 \\ \frac{5x}{5}=\frac{355}{5} \\ x=71 \end{gathered}[/tex]

The concert ticket cost is $71

Therefore, Mr. Chandra have left:

[tex]80-71=9[/tex]

Answer: $9

Carolina wants to find out how many different ways can she arrange the apps on her Iphone on the first row. The first row has space for 4 apps, and she has 12 apps to choose from

Answers

ANSWER

495 ways

EXPLANATION

Carolina has 12 apps to choose from and she only has space for 4 apps.

To find out how many ways she can do it, we will need to use combination.

That is:

[tex]^{12}C_4[/tex]

Note: we use combination because the order of the apps is not a factor

So, we have that:

[tex]\begin{gathered} ^{12}C_4\text{ = }\frac{12!}{(12\text{ - 4)! 4!}}\text{ = }\frac{12!}{8!\text{ 4!}} \\ =\text{ 495 ways} \end{gathered}[/tex]

She can arrange them in 495 ways.

Enter the correct answeach column.5. Bellatrix Lestrange keeps her money in GringottsWizarding Bank. She decided to take $100,000out of her vault and split it among three differentaccounts. She placed part in a savings accountpaying 3% per year, twice as much in Wizard bondspaying 5.5%, and the rest in a mutual fund thatreturned 4%. Her income from these investmentsafter one year was $4,480. How much did Bellatrixplace in each account?11223334.44HOW MUCH DID BELLATRIX PLACE IN THEMUTUAL FUND?556670N (0088

Answers

Assum,e that she put x in the account of 3%

So in wizard bonds, she put twice so it is 2x

The rest in the account of 4%

The rest is 100,000 - x - 2x = 100,000 - 3x

The rule of the investment is :

[tex]I=\text{prt}[/tex]

I is the interest, P is the money she invested, r is the rate and t is the time

We will make equation for each account

[tex]\begin{gathered} I_1=x(\frac{3}{100})(1)=0.03x_{} \\ I_2=(2x)(\frac{5.5}{100})(1)=0.11x \end{gathered}[/tex][tex]I_3=(100,000-3x)(\frac{4}{100})(1)=4000-0.12x[/tex]

The sum of the interest is 4,480, so add them and equate the sum by 4,480 to find the value of x

0.03x + 0.11x + 4000 - 0.12x = 4,480

Add like terms in the left side

0.02x + 4000 = 4,480

Subtract 4000 from both sides

0.02x + 4000 - 4000 = 4,480 - 4000

0.02x = 480

Divide both sides by 0.02

x = 24,000

The value in the mutual fund is 100,000 - 3x, so substitute s by 24,000

The mutual fund = 100,000 - 3(24,000) = 100,000 - 72,000 = 28,000

The mutual fund = $28,000

STATEMENTREASON1. DBC - RST1. Given2. ZABC - ZDBC+ ABD2. Angle addition therom3.3. Ifa=b+cand c>0,thena > b4. ABC > RST4. SubstitutionWhich of the following statements would complete the proof in line 3?O ZABC> ZABDO LABC> DBCO ZDBC> ZABD

Answers

Answer

Option B is correct.

Angle ABC > Angle DBC

Explanation

Since it's been proven that

Angle ABC = Angle ABD + Angle DBC

Since Angle ABD > 0,

Angle ABC > Angle DBC is the part that completes the proof that

Angle ABC > Angle RST

Hope this Helps!!!

I don’t understand how to explain this question

Answers

The segments cannot be set equal since the constant terms 15 is greater than two. The variable x remains like a constant term in both sides of the point B.  we say that 15x > 2x

What is inequality?

In mathematics, the signs used inequality calculations are

greater thanless thangreater than or equal toless than or equal to

Using the picture as evidence the mark represented by B is not the midpoint hence the equality sign will not be used here. The sign to be used is the inequality sign.

In addition, the constants 15 and 2 shows that 15 is greater than 2. and there is no other addition to the variable x to help check the effect of the greatness of 15

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